253216101612352 has 56 divisors (see below), whose sum is σ = 503547583800456. Its totient is φ = 126338244968448.

The previous prime is 253216101612347. The next prime is 253216101612373.

253216101612352 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 60268888996416 + 192947212615936 = 7763304^2 + 13890544^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56874928 + ... + 61165264.

Almost surely, 2^{253216101612352} is an apocalyptic number.

It is an amenable number.

253216101612352 is a deficient number, since it is larger than the sum of its proper divisors (250331482188104).

253216101612352 is a wasteful number, since it uses less digits than its factorization.

253216101612352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292315 (or 4292305 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

It can be divided in two parts, 25321610 and 1612352, that added together give a palindrome (26933962).

The spelling of 253216101612352 in words is "two hundred fifty-three trillion, two hundred sixteen billion, one hundred one million, six hundred twelve thousand, three hundred fifty-two".